JavaScript has only one numeric type number, and all numbers in JavaScript are represented in the IEEE-754 standard format. The problem with the precision of floating-point numbers is not JavaScript-specific, because some decimals are infinite in binary representations of digits.
Decimal binary0.1 0.0001 1001 1001 1001 ...0.2 0.0011 0011 0011 0011 ...0.3 0.0100 1100 1100 1100 ...0.4 0.0110 0110 0110 0110 ...0.5 0.10.6 0.1001 1001 1001 1001 ...So for
The float and double data are single and double, and their values are 3.4E+10 minus 38 times to 3.4E+10 of 38, and 1.7E+10 minus 308 times to 1.7E+10 of the 308.
So for float, only 6-7 digits of the effective number, how can be loaded up to 3.4*10^ (-38) Such a large number? Similarly, 15-16-bit double type, also cannot install 1.7*10^ (-308) so large number ah?
Answer: float 6-7 refers to
number of digits of a valid number (precision), not numeric
oracle number type precision, scale range Number (p,s) P:1---38 S: -84---127 valid digits : From the left of the first number not 0, to the end of all numbers, the decimal point and minus sign are not counted in the number of significant digits. NBSP p>0, s 3 case: 1. NBSP;S>0NBSP to the right s bit of the decimal point and rounded . Then verify that the valid digits are ; ZWF. Yudong>create table T_n (ID number (5,2)); table
If I ask you 0.1 + 0.2 equals how many? You may send me a supercilious eye, 0.1 + 0.2 = 0.3 Ah, that still ask? Even the kindergarten children will answer such a childish question. But you know, the same problem is in the programming language, maybe it's not as simple as it might seem.Don't believe it? Let's look at a section of JS first.
var NumA = 0.1;var NumB = 0.2;Alert (NumA + numB) = = 0.3);
The execution result is false. Yes, when I first saw this code, I took it for granted that it was
This article assumes that you are familiar with the C + + and Win32 APIs
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The time stamp (Timestamp) obtained from Windows NT has a maximum accuracy of 10 to 15 milliseconds depending on the hardware you are using. However, sometimes when you need time to label frequent events, getting higher accuracy is more satisfying. For example, what if you want to deal with threads, or do some other task at intervals of not less than 10 milliseconds? For better accuracy, the recommended approach i
automatically omits the highest 1, so the storage is 23 bits actually 24 bits. (Decimal position is 2^ (23) =8388608 7 digits calculated as 6-digit precision)For a chestnut: 3.2fConvert to binary storage: integral part 32 binary 11Fractional part 0.2 is converted to binary (by 2 to the integer portion until the fractional part is divided into 0)----> (decimal by 2) 0.4 0.8 1.6 1.2 0.4 0.8 1.6 1.2 0.4 ... (Infinite Loop)The result is: 11.00 1100 11001
This article mainly introduces the PHP floating point Precision problem summary, this article discusses the PHP floating point precision loss problem emphatically, uses the three paragraph different way to explain this question formation reason and the solution, needs the friend to be possible to refer to under
A, PHP floating point accuracy loss problem
Let's look at the following code:
The code is as f
Meaning
Give n high precision numbers to determine whether the equal ratio sequence.
Range: 0
Analysis:
According to the question, this problem must be solved with high precision, using the array simulation multiplication calculation process.
Determine whether the equal-ratio sequence method: a[i],a[i+1],a[i+2], for arbitrary I, have a[i]*a[i+2]=a[i+1]*a[i+1].
Therefore, a high-
Recently used in the temperature and humidity sensor, AM2305 drive, single bus, on the power of at least 2S to read temperature and humidity, temperature accuracy is high, like DS18B20, data with the checksum, will not appear ds18b20, and the timing is not high
/*************************************************************************************************************
* FileName: am2305.c * function: STM32 AM2305 high precision temperature and hu
Abstract: Image Stitching is an important part in the process of measuring large-size images. The accuracy of stitching directly affects the accuracy of the measurement results. This paper introduces the basic components and principles of the visual detection system, and focuses on the high-precision and large-scale image stitching Based on Computer Vision. Key words: Computer Vision; image stitching; image acquisition; Detection System machine vision
As3 currently only provides the int, uint, and number numeric types. The valid value range of an int is-2 ^ 31 ~2 ^ 31-1 (-2147483648 ~ 2147483647). uint indicates the unsigned integer. The valid value range is0 ~ 2 ^ 32-1 (0 ~ 4294967295) in Adobe official instructions, the expression of number is: "number data types can represent integers, unsigned integers, and floatingPoints ." To improve performance as much as possible, the number data type should be used only for floating point numbers, or
Calculate the geometric headache place generally lies in the code quantity and the accuracy question, the code quantity question as long as usual attention accumulates the template general to be not the problem. Accuracy problem is not good to say, sometimes a precision problem may become a bottleneck, simply "finishing touch." These years of the topic is basically toward more and more the direction of the accuracy of the development, but there are so
Turn from pencilWhy can floating point numbers lose precision?Floating-point decimal values typically do not have the exact same binary representation. This is a side effect of the floating-point data representation used by the CPU. For this reason, you may experience some loss of precision, and some floating-point operations may produce unexpected results.The cause of this behavior is one of the following:
on a multi-core or multiprocessor computer. Especially on computers that support CPU frequency dynamic tuning, QueryPerformanceFrequency () under Windows system gets Hpet(assuming existence), while the QueryPerformanceCounter () Get Hpet (assuming high precision event timer (hiPrecision event timer)) The number of clock cycles since power-on, independent of CPU frequency . Previous functionThe different values are not fed back by the difference in the
In the development of high-precision operation is not very frequent, the precision of float and double can actually meet the overwhelming majority of needs, and high-precision operation is slower than the normal operation, but the use of high-precision operation is often used in the convenient API. The class of high
In the operation of floating-point numbers in PHP, a hole was encountered, which did not get the expected result, as follows:
$a = 69.1;$b = $a *100;$c = $b-6910;
What do you think the value of $c is? The value $c output is -9.0949470177293E-13. Why is that?
In the PHP website float float page, said:
The precision of floating point numbers
The precision of floating-point numbers is limited. Although PH
High-precision algorithm: (from Baidu Encyclopedia)It belongs to the mathematical calculation method of processing large numbers. In general scientific calculations, it will often count to hundreds of or more of the decimal point, or perhaps hundreds of millions of to tens of billions of of a large number.Generally this kind of numbers we collectively referred to as high-precision number, high-
The accuracy problem of javaScript floating-point arithmeticAlmost all programming languages use the IEEE-745 floating-point notation, and any programming language that uses binary floating-point numbers has this problem, but in many other languages the method has been encapsulated to avoid the problem of precision, and JavaScript is a weak type of language, There is no strict data type for floating-point numbers from the design idea, so the problem o
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